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Finding the Third Proportional to 314,327,029.50 and 661,234,351.50

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Solution

The third proportional to 314,327,029.50 and 661,234,351.50 is: 1,391,006,265.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,327,029.50 : 661,234,351.50 = 661,234,351.50 : x
  2. Step 2: Convert to fraction form
    314,327,029.50/661,234,351.50 = 661,234,351.50/x
  3. Step 3: Cross multiply
    314,327,029.50x = 661,234,351.50 × 661,234,351.50
  4. Step 4: Simplify right side
    314,327,029.50x = 437,230,867,603,625,536
  5. Step 5: Solve for x
    x = 437,230,867,603,625,536/314,327,029.50
  6. Step 6: Final answer
    x = 1,391,006,265.99

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.